Slides_LT_18_to_28

Slides_LT_18_to_28 - Laplace Transform • Definition • Some Properties • Laplace transform of derivatives • Laplace transform of integrals

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Unformatted text preview: Laplace Transform • Definition • Some Properties • Laplace transform of derivatives • Laplace transform of integrals • Laplace transform of standard signals • Table of Laplace transforms and their usage. VFR Dept. of Cybernetics LT. 18 VFR LT. 19 Dept. of Cybernetics • Definition – causal signal – the Laplace transform of the signal is by convention denoted where s, the Laplace variable, is complex of dimension 1/time. – By definition the Laplace transform of the causal signal is the integral with respect to time from 0 to infinity of the signal multiplied by – The inverse Laplace transform is denoted ) ( t f { } ) ( ) ( t f L s F = st e − { } ∫ ∞ − = = ) ( ) ( ) ( dt t f e t f L s F st { } ) ( ) ( 1 t f s F L = − VFR LT. 20 Dept. of Cybernetics • , its LT is ? • Using the mathematical definition • Using the intuitive approach a t f = ) ( Properties of the Laplace Transform • ....
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This note was uploaded on 11/07/2009 for the course FOFL 4531 taught by Professor Haiza during the Spring '09 term at Carlos Albizu.

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Slides_LT_18_to_28 - Laplace Transform • Definition • Some Properties • Laplace transform of derivatives • Laplace transform of integrals

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